Pre-Calculus Notes: Section 3.2 The Vertex Form of a Quadratic

Pre-Calculus
Notes: Section 3.2
The Vertex Form of a Quadratic Function
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What is the vertex form of a quadratic function?

How do you convert a quadratic function from standard form to vertex form?
Ex. Put g ( x)  2 x 2  12 x  17 into vertex form.
Vertex?
Axis of Symmetry?
Ex. Find the equation of the parabola shown:
Warm-up Problem: Give these a shot (don’t wait for class)
Factor completely
3
Solve,
7
3
3
b. x 2  125 x 2
a. x4  10 x2  9
4
3
1
3
5x  9 x  2 x  0